Study Guide for Quiz #2 on Learning Target #8 to #16
LEARNING TARGET #8. I can solve for the unknown angle and arcs of intersecting lines outside, on and inside the circle. (tangent-tangent, tangent-secant, 2 chords, 2 secants line)
Find the measure of unknown measure of angle x or arc y.
1.
147⁰ 2. 3. 125⁰
67⁰ x⁰ 66⁰ 138⁰ x⁰
x⁰ 22⁰
LEARNING TARGET #9. I can solve for the unknown segments and arcs of intersecting line outside, on and inside the circle. (tangent-tangent, tangent-secant, 2 chords, 2 secants line)
4. x
8
5.
3x
10 8 3 2x
18
6. x
6
7.
x⁰
4
LEARNING TARGET #10. I can solve for the unknown angle, segment and arcs of intersecting lines outside, on and inside the circle.
8. (2x+15)⁰ 9.
115⁰
25⁰
14x⁰ x 2
(4x +5) ⁰ (236-15x)⁰

LEARNING TARGET #11. I can use the distance formula (Pythagorean Theorem), the coordinates of a circle’s center, and the circle’s radius to write the equation of the circle.
10. Write an equation for a circle with center at (-3, 4) and diameter of 9 centimeters.
_______________________
11. What is the radius and center of the circle given the equation ( x – 6) + (y +3) = 16? _____________
12. Is the point (4,2) inside the circle with the formula (x +6) + (y - 3) = 9? _________________________
LEARNING TARGET #12. I can use similarity to calculate the length of an arc.
Solve for the length of arc AB. Solve for the measure of radius What is the total length?
15. 13. A
65⁰
B d=14in
14. 12 cm
85⁰
r=1in
3in
LEARNING TARGET #13. I can use similarity to calculate the area of a sector.
Solve for the area of the shaded region below.
16.
60⁰
17.
d = 20 cm
r = 6in
LEARNING TARGET #14 I can calculate the circumference and area of a circle.
18.
Solve for indicated measure.
19. circumference 20. area 21. area r = 7in d = 11cm
r= 6cm
50⁰ circumference = 81π

LEARNING TARGET #15. I can define geometric probability.
22. Define geometric probability. _________________________________________________________
LEARNING TARGET #16. I can solve geometric probabilities of a given situation.
Find the probability that a point A, selected randomly on line segment NT, is on the given segment.
N E Q H G K U R
12 15 18 21 24 27 30 33
23. segment NR ____________ 24. segment QU ________________
Find the probability that a point chosen at random in the figure below is in the shaded region.
25.
12in
12 in
Open response question
1.
You are standing 18 feet from the circular wall of a pool and 36 feet from a point of tangency.
Describe two different methods you could use to find the radius of the pool. What is the radius of the pool?